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Planetary migration is a crucial stage in the early solar system, explaining many observational phenomena and providing constraints on details related to the solar system's origins. This paper aims to investigate the acceleration during…

Earth and Planetary Astrophysics · Physics 2025-10-22 Hailiang Li , Li-Yong Zhou , Xiaoping Zhang

Young planets interact with their parent gas disks through tidal torques. An imbalance between inner and outer torques causes bodies of mass $\ga 0.1$ Earth masses to lose angular momentum and migrate inward rapidly relative to the disk;…

Astrophysics · Physics 2009-11-10 Edward W. Thommes

The radius-period distribution of exoplanets has been characterized by the \textit{Kepler} survey, and the empirical mass-radius relation by the subset of \textit{Kepler} planets with mass measurements. We combine the two in order to…

Earth and Planetary Astrophysics · Physics 2020-03-04 Andrew R. Neil , Leslie A. Rogers

Previous work has established the enhanced occurrence of compact systems of multiple small exoplanets around metal-poor stars. Understanding the origin of this effect in the planet formation process is a topic of ongoing research. Here we…

Earth and Planetary Astrophysics · Physics 2024-08-05 Benjamin T. Liberles , Jason A. Dittmann , Stephen M. Elardo , Sarah Ballard

Planetary embryos embedded in gaseous protoplanetary disks undergo Type I orbital migration. Migration can be inward or outward depending on the local disk properties but, in general, only planets more massive than several $M_\oplus$ can…

Earth and Planetary Astrophysics · Physics 2014-12-10 Christophe Cossou , Sean N. Raymond , Franck Hersant , Arnaud Pierens

We analyze solutions drawn from the recently published posterior distribution of the TRAPPIST-1 system, which consists of seven Earth-size planets appearing to be in a resonant chain around a red dwarf. We show that all the planets are…

Earth and Planetary Astrophysics · Physics 2022-03-14 Jean Teyssandier , Anne-Sophie Libert , Eric Agol

We present the dynamical structure of the phase space of the planar planetary 2/1 mean-motion resonance (MMR). Inside the resonant domain, there exist two families of periodic orbits, one associated to the librational motion of the critical…

Earth and Planetary Astrophysics · Physics 2011-12-07 Tatiana A. Michtchenko , Sylvio Ferraz-Mello , Cristian Beauge

Growing planets interact with their natal protoplanetary disc, which exerts a torque onto them allowing them to migrate in the disc. Small mass planets do not affect the gas profile and migrate in the fast type~I migration. Although type~I…

Earth and Planetary Astrophysics · Physics 2016-10-19 Aurélien Crida , Bertram Bitsch

GAIA leads us to step into a new era with a high astrometry precision of 10 uas. Under such a precision, astrometry will play important roles in detecting and characterizing exoplanets. Specially, we can identify planet pairs in mean motion…

Earth and Planetary Astrophysics · Physics 2016-12-23 Dong-Hong Wu , Hui-Gen Liu , Zhou-Yi Yu , Hui-Zhang , Ji-Lin Zhou

At least two multi-planetary systems in a 4:3 mean motion resonance have been found by radial velocity surveys. These planets are gas giants and the systems are only stable when protected by a resonance. Additionally the Kepler mission has…

Earth and Planetary Astrophysics · Physics 2012-09-25 Hanno Rein , Matthew J. Payne , Dimitri Veras , Eric B. Ford

The occurrence rate of young giant planets from direct imaging surveys is a fundamental tracer of the efficiency with which planets form and migrate at wide orbital distances. These measurements have progressively converged to a value of…

Earth and Planetary Astrophysics · Physics 2018-12-05 Brendan P. Bowler , Eric L. Nielsen

We examine the eccentricity evolution of a system of two planets locked in a mean motion resonance, in which the outer planet loses energy and angular momentum. The sink of energy and angular momentum could be either a gas or planetesimal…

Astrophysics · Physics 2009-11-06 N. Murray , M. Paskowitz , M. Holman

We present new results related to the coupled evolution of a two giant planet system embedded in a protoplanetary disk, in which a Saturn mass protoplanet is trapped in an outer mean motion resonance with a Jupiter mass protoplanet. The…

Astrophysics · Physics 2007-05-23 F. Masset , M. Snellgrove

We analyze the distribution of known multi-planet systems ($N \geq 3$) in the plane of mean-motion ratios, and compare it with the resonance web generated by two-planet mean-motion resonances (2P-MMR) and pure 3-planet commensurabilities…

Earth and Planetary Astrophysics · Physics 2022-05-05 Matías Cerioni , Cristian Beaugé , Tabaré Gallardo

We investigate the orbital dynamics of four-planet systems consisting of Earth-mass planets on initially-circular, coplanar orbits around a star of one solar mass. In our simulations, the innermost planet's semimajor axis is set at 1 AU,…

Earth and Planetary Astrophysics · Physics 2026-05-06 Bennet Outland , Gretchen Noble , Andrew W. Smith , Jack J. Lissauer

Given the tendency of planets to form in multiples, and the observational evidence in support of the existence of potential planet-hosting stars in binaries or clusters, it is expected that extrasolar terrestrial planes are more likely to…

Earth and Planetary Astrophysics · Physics 2015-05-14 Nader Haghighipour

About a dozen exoplanetary systems have been discovered with three or more planets participating in a sequence of mean-motion resonances. The unique and complex architectures of these so-called "resonant chains" motivate efforts to…

Earth and Planetary Astrophysics · Physics 2023-11-30 Sarah C. Millholland , Teo Lara , Jan Toomlaid

Orbital resonances play an important role in the dynamics of planetary systems. Classical theoretical analyses found in textbooks report that libration widths of first order mean motion resonances diverge for nearly circular orbits. Here we…

Earth and Planetary Astrophysics · Physics 2020-06-24 Renu Malhotra , Nan Zhang

We present a numerical study of rapid, so called type III migration for Jupitersized planets embedded in a protoplanetary disc. We limit ourselves to the case of inward migration, and study in detail its evolution and physics, concentrating…

Astrophysics · Physics 2009-11-13 A. Peplinski , P. Artymowicz , G. Mellema

The distribution of period ratios for 580 known two-planet systems is apparently nonuniform, with several sharp peaks and troughs. In particular, the vicinity of the 2:1 commensurability seems to have a deficit of systems. Using Monte Carlo…

Earth and Planetary Astrophysics · Physics 2024-09-24 Valeri Makarov , Alexey Goldin , Dimitri Veras
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